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Finding the Fourth Proportional to 405,717.30, 608,608.86 and 139,478.04

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Solution

The fourth proportional to 405,717.30, 608,608.86 and 139,478.04 is: 209,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,717.30 : 608,608.86 = 139,478.04 : x
  2. Step 2: Convert to fraction form
    405,717.30/608,608.86 = 139,478.04/x
  3. Step 3: Cross multiply
    405,717.30x = 608,608.86 × 139,478.04
  4. Step 4: Simplify right side
    405,717.30x = 84,887,570,919.43
  5. Step 5: Solve for x
    x = 84,887,570,919.43/405,717.30
  6. Step 6: Final answer
    x = 209,228.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.